Parametric pattern selection in a reaction-diffusion model

Michael Stich; Gourab Ghoshal; Juan Perez-Mercader

doi:10.1371/journal.pone.0077337

Parametric pattern selection in a reaction-diffusion model

Michael Stich, Gourab Ghoshal, Juan Perez-Mercader

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3 Citations (Scopus)

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Abstract

We compare spot patterns generated by Turing mechanisms with those generated by replication cascades, in a model one-dimensional reaction-diffusion system. We determine the stability region of spot solutions in parameter space as a function of a natural control parameter (feed-rate) where degenerate patterns with different numbers of spots coexist for a fixed feed-rate. While it is possible to generate identical patterns via both mechanisms, we show that replication cascades lead to a wider choice of pattern profiles that can be selected through a tuning of the feed-rate, exploiting hysteresis and directionality effects of the different pattern pathways.

Original language	English
Article number	e77337
Number of pages	6
Journal	PLoS ONE
Volume	8
DOIs	https://doi.org/10.1371/journal.pone.0077337
Publication status	Published - 29 Oct 2013

Bibliographical note

© 2013 Stich et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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10.1371/journal.pone.0077337

Parametric pattern selection in a reaction-diffusion model
© 2013 Stich et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
Final published version, 475 KBLicence: CC BY 3.0

http://journals.plos.org/plosone/article?id=10.1371/journal.pone.0077337

Cite this

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Parametric pattern selection in a reaction-diffusion model

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